For \(M^{\prime }\subset \mathbb {R}^{n+1}\)  a smooth closed hypersurface, recall that \(\mathfrak {F}(M^{\prime })\)  is the set of cyclic unit-regular integral Brakke flows \(\mathcal {M}^{\prime }\)  with \(\mathcal {M}^{\prime }(0) = ^n\lfloor M^{\prime }\) . Note that [1]}, [2]} implies that \(\mathfrak {F}(M^{\prime }) \ne \emptyset \)  (see also [3]}).
